TY - JOUR

T1 - Central limit theorem for random strict partitions

AU - Yakubovich, Y.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - We consider the set of all partitions of a number n into distinct summands (the so-called strict partitions) with the uniform distribution on it and study fluctuations of a random partition near its limit shape, for large n. The use of geometrical language allows us to state the problem in terms of the limit behavior of random step functions (Young diagrams). A central limit theorem for such functions is proven. Our method essentially uses the notion of large canonical ensemble of partitions.

AB - We consider the set of all partitions of a number n into distinct summands (the so-called strict partitions) with the uniform distribution on it and study fluctuations of a random partition near its limit shape, for large n. The use of geometrical language allows us to state the problem in terms of the limit behavior of random step functions (Young diagrams). A central limit theorem for such functions is proven. Our method essentially uses the notion of large canonical ensemble of partitions.

UR - http://www.scopus.com/inward/record.url?scp=29144443237&partnerID=8YFLogxK

U2 - 10.1023/A:1012433926621

DO - 10.1023/A:1012433926621

M3 - Article

AN - SCOPUS:29144443237

VL - 107

SP - 4296

EP - 4304

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

M1 - 364483

ER -